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Unformatted text preview: b) The set of strings of balanced parentheses. These are the strings of characters ( and ) that can appear in a wellformed arithmetic expression. d) { } 0 1 2  and are arbitrary integers n m n n m . CONTINUES ON NEXT PAGE Theory of Computing Homework 5 CS 3810, Fall 2009 Due Friday, October 2 4. 4.1.2 c, e, and h Prove that the following sets are not regular languages. c) { } 0  is a power of 2 n n e) The set of strings of 0s and 1s that are of the form ww, that is, some string repeating. h) The set of strings of the form 1 n w , where w is a string of 0s and 1s of length n. 5. 4.2.13 Start with the fact that the language { } 0 1 0 1  n n n n L n = is not a regular set. Prove the following languages not to be regular by transforming them, using opertions known to preserve regularity, to 0 1 n n L : a) { } 01  i j i j b) { } 0 1 2  n m n m n m ....
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 Fall '07
 HOPCROFT

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